In many applications, the chemical reaction changes the number of moles of the gas phase and hence affects the gas–solid flow structures and the reaction behavior. This study analyzes the effect of such non-equimolar reaction on the meso-scale reaction rate model. Based on the filter technique and the fine-grid simulation data, a meso-scale reaction rate model is proposed by correcting the model established by Huang et al. (AIChE, 2021, 67 (5)) in which only equimolar reaction is involved. The Reynolds number calculated by the filtered gas–solid slip velocity is found to be an important marker in the correction factor. The effectiveness of the new model is demonstrated by prior tests and also posteriori tests in fluidized beds.

Heat Transfer Studies of Arrays of Prolate Particles in Gas-Solid Flows: Numerical study of forced convection heat transfer from arrays of prolate particles is performed using the second-order Immersed Boundary-Lattice Boltzmann Method (IB-LBM). Prolate particle is studied with aspect ratio of 2.5 with solid volume fraction variation from 0.1 to 0.3. For each solid volume fraction, arrays of prolate particles are generated and simulations have been performed to calculate Nusselt number for four different Hermans orientation factors and various Reynolds numbers. From the simulation results, it has been observed that, for any specific value of Hermans orientation factor, Nusselt number increases with the increase of the Reynolds number and solid volume fraction. More importantly, it is found that the effect of orientations on Nusselt number is significant. Nusselt number correlation is developed for ellipsoidal particles as function of Reynolds number, Prandtl number, solid volume fraction, and orientation factors. This correlation is valid for and .